1. The problem statement, all variables and given/known data The line l passes through the point P=(1,-1,1) and has direction vector d=[2,3,-1]. Determine whether l and P are parallel, perpendicular, or neither to 2x+3y-z=1. 2. Relevant equations n.p=n.x, cross product, dot product 3. The attempt at a solution Would you just relate the direction vector, d, to the normal vector, n[2,3,-1] ?